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Finding the Third Proportional to 3,566 and 8,641

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Solution

The third proportional to 3,566 and 8,641 is: 20,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566 : 8,641 = 8,641 : x
  2. Step 2: Convert to fraction form
    3,566/8,641 = 8,641/x
  3. Step 3: Cross multiply
    3,566x = 8,641 × 8,641
  4. Step 4: Simplify right side
    3,566x = 74,666,881
  5. Step 5: Solve for x
    x = 74,666,881/3,566
  6. Step 6: Final answer
    x = 20,938.55

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.